Quantization of the Maxwell field and extensions of zero mass representations of Poincaré group. (English) Zbl 0414.58018
MSC:
| 53D50 | Geometric quantization |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 81T08 | Constructive quantum field theory |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
Keywords:
covariant quantizations of the Maxwell field; representations of the Poincare group built by extension on the direct sum of four unitary zero mass representations; generalized Lorentz gaugesReferences:
| [1] | StrocchiF., and WightmanA.S., J. Math. Phys. 15, 2198 (1974). · doi:10.1063/1.1666601 |
| [2] | Rideau, G., ?Poincaré group cohomology and generalized Lorentz gauges?, Preprint Paris VII, Oct. 1976 (to be published in J. Math. Phys.). |
| [3] | Rideau, G., ?Extension of mass zero representation of Poincaré group?, Preprint Paris VII, April 1977 (to be published in Reports on Math. Phys.). |
| [4] | TomczakS.P., and HallerK., Nuovo Cimento, 8B, 1 (1972). |
| [5] | BayenF. and FlatoM., J. Math. Phys. 17, 1112 (1976). · doi:10.1063/1.523035 |
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